Question

MEDAL
Fiber-optic cables are used widely to increase the speed and accuracy of data transmission. When light passes through a fiber-optic cable, its intensity decreases with the increase in the length of the cable. If 1700 lumens of light enters the cable, the intensity of light decreases by 1.9% per meter of the cable.

Part A: Can this situation be represented by a linear function? Justify your answer. (2 points)

Part B: Write a function f(x) to represent the intensity of light, in lumens, when it has passed through x meters of the cable. (4 points)

Answer 1

hi theres also a part c i could really use the help

Answer 2

Part C: Some scientists are trying to make a cable for which the intensity of light would decrease by 2 lumens per unit length of the cable. Can this situation be represented by a linear function? Justify your answer and write the appropriate function to represent this situation if 1700 lumens of light enter the cable. (4 points)

Answer 3

I think the answer is yes

Answer 4

thanks

Answer 5

let me do the math though lol

Answer 6

ok :3

Answer 7

\[y=1700-x(98.1)\] would be the equation

Answer 8

thanks

Answer 9

im not really sure what the wording of the questions are asking but does that help?

Answer 10

yes it does thanks do you have any idea what to do for part c im lost

Answer 11

and i think i might be wrong. give me a second

Answer 12

kk

Answer 13

um where does the 98.1 come from if its 1.9%

Answer 14

100-1.9

Answer 15

because each meter you lose a 1.9 percent of the original light length. but you keep 98.1 percent of the light

Answer 16

oh okay so the equation is still1700-x(98.1)

Answer 17

i think thats wrong

because i feel like part c the answer is its a linear equation of \[y=1700-98x\] so i think that part a and b are no the equation would be \[y=1700e^{x*98.1}\]

Answer 18

so =1700e^{x*98.1} would be the equation for part a

Answer 19

i lied its \[y=1700-2x\] which is linear for part a

Answer 20

i mean part c

Answer 21

and yes \[y=1700e^{x98}\] is part a

Answer 22

ok

Answer 23

i lied again its \[y=1700e^{x*0.019}\]